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Finding the Fourth Proportional to 280.23, 386.90 and 169.75

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Solution

The fourth proportional to 280.23, 386.90 and 169.75 is: 234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.23 : 386.90 = 169.75 : x
  2. Step 2: Convert to fraction form
    280.23/386.90 = 169.75/x
  3. Step 3: Cross multiply
    280.23x = 386.90 × 169.75
  4. Step 4: Simplify right side
    280.23x = 65,676.28
  5. Step 5: Solve for x
    x = 65,676.28/280.23
  6. Step 6: Final answer
    x = 234.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.